Book of Common Prayer (page 498)

Lord Jesus Christ, we commend to you our brother (sister)
N, who was reborn by water and the Spirit in Holy Baptism.
Grant that his death may recall to us your victory over death,
and be an occasion for us to renew our trust in your Father's
love. Give us, we pray, the faith to follow where you have led
the way; and where you live and reign with the Father and the Holy
Spirit, to the ages of ages. Amen.

or this

Father of all, we pray to you for N, and for all those whom
we love but see no longer. Grant to them eternal rest. Let
light perpetual shine upon them. May his soul and the souls
of all the departed, through the mercy of God, rest in peace.
Amen.

When there is no Communion, the service continues with the
Commendation, or with the Committal.

At the Eucharist

The service continues with the Peace and the Offertory

Preface of the Commemoration of the Dead

In place of the usual postcommunion prayer, the following is said

Almighty God, we thank you that in your great love you have
fed us with the spiritual food and drink of the Body and
Blood of your Son Jesus Christ, and have given us a foretaste
of your heavenly banquet. Grant that this Sacrament may be
to us a comfort in affliction, and a pledge of our inheritance
in that kingdom where there is no death, neither sorrow nor
crying, but the fullness of joy with all your saints; through
Jesus Christ our Savior. Amen.